Finding the Third Proportional to 9,074 and 13,874

Step by Step Solution

1. Step 1: Write the proportion equation
   9,074 : 13,874 = 13,874 : x
2. Step 2: Convert to fraction form
   9,074/13,874 = 13,874/x
3. Step 3: Cross multiply
   9,074x = 13,874 × 13,874
4. Step 4: Simplify right side
   9,074x = 192,487,876
5. Step 5: Solve for x
   x = 192,487,876/9,074
6. Step 6: Final answer
   x = 21,213.12